Concept of wavelength, l, and wavenumber, k

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Turbulent Spectra Example Temperature Spectrum
Concept of wavelength, l, and wavenumber, k
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The Uncertainty Principle
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Developing the Concept of an Eddy
Real(u)
Q
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The Eddy
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Use of the Log-Log plot
Linear Plot
Log-Log Plot
1 2 10 20
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kQ
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kQ
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kQ
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Turbulent Spectral Concepts

• Turbulence Model
• Homogenous and Stationary

• Local Isotropy

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Turbulent Kinetic Energy Spectra
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Longitudinal (Parallel, P) and Transverse
(Across, A) Correlation Functions
G Longitudinal (Parallel, P) and FTransverse
(Across, A) Spectra
Integral Scales
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Energy Cascade (from T/L p 256)
Energy Transferred
Vorticity Equation
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Results
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The Cascade Process (B 0)
decreasing
increasing
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1 D Velocity Spectra F(k)
1 D Temperature Spectra F(k)
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Estimating F(k) and F(k) from at Sea
Measurements
SMAST T-REMUS Autonomous Underwater Vehicle
Turbulent Velocity ShearProbes
x
Turbulent Temperature Gradient Probes
U Mean Speed Produced by AUV
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Generic Transverse Velocity Spectral Model
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Determining A , B,
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Generic Transverse Velocity Spectral Model
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Temperature Cascade Process
e
L
Length Scale
Inertial Subrange
Viscous Convective Subrange
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Generic Temperature Spectral Model
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Generic Temperature Spectral Model
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Generic Temperature Spectral Model